Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative
Chein, Orin ; Goodaire, Edgar G.
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 1-8 / Harvested from Czech Digital Mathematics Library
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We investigate finite Moufang loops with a unique nonidentity commutator which are not associative, but all of whose proper subloops are associative. Curiously, perhaps, such loops turn out to be ``ring alternative'', in the sense that their loop rings are alternative rings.

Publié le : 2002-01-01
Classification:  17D05,  20N05 
@article{119295,
     author = {Orin Chein and Edgar G. Goodaire},
     title = {Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {1-8},
     zbl = {1068.20069},
     mrnumber = {1903302},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119295}
}

Chein, Orin; Goodaire, Edgar G. Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 1-8. http://gdmltest.u-ga.fr/item/119295/

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